Question

Someone help me with this question

Answer 1

`y=(1)/(2)x-2`

Explanation:

To write the equation of a line, you need a slope and a point. Then substitute them into the point slope form and simplify.

The slope can be found using the slope formula and substituting (-6,-5) and (-4,-4) into it:

`m = (y_2-y_1)/(x_2-x_1) = (-5--4)/(-6--4) =(-5+4)/(-6+4) =(-1)/(-2)=(1)/(2)`

The slope is 1/2. Using (-4,-4) write the equation in
`y-y_1=m(x-x_1)`.

`y --4 = (1)/(2)(x--4)\\y+4 = \frac{1}[2](x+4)\\y+4=(1)/(2)x+2\\y=(1)/(2)x-2`